This article is cited in 1 paper

A theorem on properties of sample functions of a random field and generalized random fields

S. L. Starodubov

Chair of Function Theory and Functional Analysis, Moscow State University, Moscow, Russia

Abstract: We prove a theorem on the equivalence of some properties of a random field defined in terms of sample functions. We apply this theorem for studying generalized random fields.

Keywords: random fields, sample functions, total transform of a measure, cylindric set algebras, generalized random field.

UDC: 519.21

Received: 05.03.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:7, 40–46

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